Ares, when not approaching Diana of his own volition, was found at a warzone and terrorist attack.

And some quotes from him "Thine enemies must be eliminated, lest they return for thine own head! Revenge is not an option to leave a foe!"

and whe talking about war itself "well, we do what we can to keep the world spinning" "open your eyes and see what they hold the world will be ruled by war. It's inevitable"

Sounds like war is War's job.

Much like arguing that Wonder Woman is not Greek because she was made of Clay and not natural born, after having it pointed out that Themyscira is Amazonian and therefore Greek....really grasping at straws to say the Effn Greek God of War's job is not War

Of course, Wondy in that position turns it on it's head, conquers it because she is intended to undo war.